Graphing Square Root and Cube Root Functions

The video tutorial covers graphing square root and cube root functions, including transformations and using tables to plot graphs. It explains how to apply vertical stretches, shrinks, and reflections, as well as horizontal and vertical shifts. The tutorial provides examples of graphing both square root and cube root functions, discussing the domain and range for each. The video emphasizes the importance of the order of transformations to ensure accurate graphing.

What is the main focus of the video tutorial?

• Graphing quadratic functions

• Graphing square root and cube root functions

• Graphing linear functions

• Graphing exponential functions

Which numbers are easy to use for graphing square root functions?

• 2, 3, 5, 7

• 0, 1, 4, 9

• 5, 10, 15, 20

• 1, 2, 3, 4

What does the 'a' value in a square root function affect?

• Reflection over the y-axis

• Vertical stretch or shrink

• Domain of the function

• Horizontal shift

How does a negative 'a' value affect the graph of a square root function?

• It shifts the graph up

• It reflects the graph over the x-axis

• It stretches the graph vertically

• It shifts the graph to the right

What is the domain of the transformed square root function in the example?

• x is all real numbers

• x is between -1 and 1

• x is greater than or equal to 1

• x is less than or equal to 1

What is the range of the transformed square root function in the example?

• y is less than or equal to 2

• y is greater than or equal to 2

• y is between 0 and 2

• y is all real numbers

What is the parent function for cube root graphs?

• y = x^2

• y = square root of x

• y = cube root of x

• y = x^3

Which numbers are easy to use for graphing cube root functions?

• 5, 10, 15, 20

• 8, -1, 0, 1

• 1, 2, 3, 4

• 0, 1, 4, 9

What effect does a negative sign in front of the cube root function have?

• It reflects the graph over the x-axis

• It shifts the graph up

• It shifts the graph to the right

• It stretches the graph vertically

What is the domain of the transformed cube root function in the example?

• x is between -1 and 1

• x is greater than or equal to 1

• x is all real numbers

• x is less than or equal to 1